A Meshless Method For Two Kinds Of Boundary Conditions Problem

The traditional numerical method of equation in electromagnetic field is based on meshing.This method discrete continuous solution domain into finite number.The discrete numbers combined in a certain way.In each unit,a hypothetical approximation function is used to represent unknown functions.In this way,not only need the node information,but also need the node's connection information.It is difficult to store data and solve equations.The emergence of meshless method avoided the difficult of cell division.What's more,this method greatly reduced the workload and is easy to operate.Based on the meshless local Petrov-Galerkin(MLPG)method and the Toeplitz approximation,this paper presents a meshless algorithm for solving cavit y scattering.The method effectively deals with the singular integral problem at the caliber of the cavity.Simultaneously,it eliminated the amount of calculation.This paper also explored the usage of meshless method in inhomogeneous media.In this process,the essential boundary conditions and jump conditions are directly into the integral form of solution.In this way,the discontinuous boundary conditions and the essential boundary conditions are substituted directly,simplified the handing of complex boundaries.In this paper,some numerical experiments are given.The comparison between exact solution and numerical solution proves the validity of the method.